Arithmetic Prog...

In the arithmetic series, find the sum of the first $$n$$ terms if the first term is $$-11$$, the common difference is $$4$$ and the $$n^{th}$$ term is $$137.$$

Find the common difference in an arithmetic seres, where $$S_{15}=322.5$$ and the first is $$4$$.

Find $${a}_{20}$$ given that $${a}_{3}=9$$ and $${a}_{8}=24$$

If the $$14^{th}$$ term of an arithmetic series is $$6$$ and $$6^{th}$$ term is $$14$$, then what is the $$95^{th}$$ term?

Find the sum of all natural numbers not exceeding $$1000$$, which are divisible by $$4$$ but not by $$8$$.

What is the sum of the first $$40$$ even positive integers?

How many 3 digit numbers are divisible by $$6$$ in all?

What is the tenth term of the arithmetic sequence whose first term is $$x$$ and whose third term is $$x + 6a$$?

$$-20, -16, -12, -8.....$$ is the sequence and each term is increased by $$4$$. Then which of the following could not be a term in the sequence?

The sum of four numbers in AP is $$176$$. The product of 1st and last is $$1855$$. The mean of middle two is